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Aleks04 [339]
3 years ago
11

Which of the following sets of numbers could represent the three sides of a triangle

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

  d  5,15,19​

Step-by-step explanation:

The sum of the shortest two sides must be longer than the longest side. That is only the case for selection D.

__

If the sum is equal to the longest side, the segment ends will meet, but the "triangle" will look like a line segment. Many authors do not allow such a thing to be called a triangle. Hence, 'b' is not an answer to this question.

(Some authors <em>do</em> allow such a triangle, in which case, there would be two answers here: B and D.)

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Step-by-step explanation:

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3 years ago
Please help I don’t know how to do this
mina [271]

Answer:

f(x) = -2x + 7, when x > 1

f(x) = 4x + 1 when x ≤ 1

Step-by-step explanation:

The right side graph passe through points (1,5) and (2,3).  

Hence, the equation of the line  

\frac{y - 5}{5 - 3} = \frac{x - 1}{1 - 2}

⇒ (y - 5) = 2(1 - x)

⇒ y - 5 = 2 - 2x

⇒ y = -2x +7.......... (1)

Now, the left side graph passes through points (1,5) and (0,1)

Therefore, the equation of the graph will be  

\frac{y - 5}{5 - 1} = \frac{x - 1}{1 - 0}

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⇒ y = 4x + 1 ........ (2)

Hence, the equation (1) gives the function in the right side of the given graph which does not include the point (1,5) and extends to the right from this point.

Therefore, f(x) = -2x + 7, when x > 1 (Answer)

Again, equation (2) gives the function in the left side of the given graph which includes the point (1,5) and extends to the left from this point.

Therefore, f(x) = 4x + 1 when x ≤ 1 (Answer)

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Step-by-step explanation:

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{ \bf{(a).}} \\ { \tt{ {n}^{th}  = a + (n - 1)d }} \\ { \tt{ {n}^{th} = 6 + (n - 1)  \times - 4 }} \\  {n}^{th}  =  10 - 4n \\  \\ { \bf{(b).}} \\ { \tt{ {n}^{th}  =  - 8 + (n- 1) \times - 7 }} \\ { \tt{ {n}^{th}  =  -1 - 7n}}

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2 years ago
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